BOTT MANIFOLDS WITH VANISHING FUTAKI INVARIANTS FOR ALL KAHLER CLASSES

被引：0
|
作者：
Ono, Hajime [1 ]
Sano, Yuji [2 ]
Yotsutani, Naoto [3 ]
机构：
[1] Univ Tsukuba, Dept Math, 1-1-1 Tennodai, Tsukuba, Ibaraki 3058571, Japan
[2] Fukuoka Univ, Fac Sci, Dept Appl Math, 8-19-1 Nanakuma,Jonan ku, Fukuoka 8140180, Japan
[3] Kagawa Univ, Fac Educ Math, 1-1 Saiwai Cho, Takamatsu 7608521, Japan
来源：
NAGOYA MATHEMATICAL JOURNAL | 2025年
关键词：
Bott manifolds; strong Calabi dream manifolds; toric varieties; Futaki invariants; EXTREMAL METRICS; COMPACT; EXISTENCE; STABILITY; CURVATURE; CRITERION;
D O I：
10.1017/nmj.2025.4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the only Bott manifolds such that the Futaki invariant vanishes for any K & auml;hler class are isomorphic to the products of the projective lines.
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页数：20
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